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Finding the Third Proportional to 1,540.90 and 3,273.78

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Solution

The third proportional to 1,540.90 and 3,273.78 is: 6,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.90 : 3,273.78 = 3,273.78 : x
  2. Step 2: Convert to fraction form
    1,540.90/3,273.78 = 3,273.78/x
  3. Step 3: Cross multiply
    1,540.90x = 3,273.78 × 3,273.78
  4. Step 4: Simplify right side
    1,540.90x = 10,717,611.70
  5. Step 5: Solve for x
    x = 10,717,611.70/1,540.90
  6. Step 6: Final answer
    x = 6,955.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.